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* Danish Institute of Agricultural Sciences, Department of Genetics and Biotechnology, PO Box 50, 8830 Tjele, Denmark
Kvægavlsforeningen Dansire, Ebeltoftvej 16, Assentoft, 8900 Randers, Denmark
1 Corresponding author: bart.buitenhuis{at}agrsci.dk
| ABSTRACT |
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Key Words: dairy cattle lameness leg conformation quantitative trait loci
| INTRODUCTION |
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Lameness due to claw disorders is a problem in modern cattle housing systems. Reducing lameness would be beneficial for the farmer because the lactational and lifetime production of the cow increases, whereas the costs decrease. Indirect selection using correlated leg conformation traits would be a possibility to reduce lameness in cattle because leg conformation traits are correlated with claw disorders (van der Waaij et al., 2005). However, even though body conformation traits describing feet and legs have been part of the breeding scene for decades, selection for these traits alone as practiced has not reduced lameness in a satisfactory way. Genetic parameters for claw disorders causing lameness have been estimated before (Smit et al., 1986; Boelling et al., 2001; van der Waaij et al., 2005), but usually the estimates have a low accuracy and the heritability does not exceed 0.15. In the Danish Holstein population the heritability for lameness is around 1 to 2% (Pedersen Aamand, 2002).
The conformation trait feet and legs is recorded as different subtraits like rear legs rear view, rear legs side view, foot angle, hocks, and bone quality. The heritability of these traits ranges from 0.12 to 0.41 (Van Dorp et al., 1998; Pérez-Cabal and Alenda, 2002; Hiendleder et al., 2003). In the Danish Holstein population, the heritabilities of these traits range from 0.13 to 0.28 (Pedersen Aamand, 2002). Feet and legs is one of the most important traits determining productive life. If an animal has bad legs, this problem has a major effect on longevity but not on final profit (Pérez-Cabal and Alenda, 2002).
So far, selection for body conformation traits has been based on phenotypic and pedigree data only, using statistical methods partitioning the phenotype into continuously distributed additive genetic value and environmental contributions. Lameness has a low heritability and can often be measured accurately late in life. Leg conformation traits have a moderate heritability and could be used as an indicator trait for lameness. However, the observations also for leg conformation traits become available relatively late in life, at least after the first calving. Therefore, identification of QTL directly associated with lameness could help to more accurately select early in life those animals that are less prone to suffer lameness at a later age, whereas QTL for leg conformation traits could help to select those animals that have legs which are more robust to lameness (Mc-Daniel, 1997). Previous studies from different countries have shown that one can detect QTL associated with feet and leg-related traits in Holstein cattle (Ashwell et al., 1998a,b, 2001, 2005; Schrooten et al., 2000; Hiendleder et al., 2003); however, results from studies reporting QTL for lameness have not been reported so far.
To increase the knowledge of the genetics of lameness and leg conformation traits, several claw disorders and diseases as well as different leg conformation traits were measured in the Danish Holstein cattle population. The aims of the study were to (1) detect QTL across the cattle genome influencing lameness and leg conformation traits and (2) characterize QTL for pleiotropy vs. multiple linked QTL when QTL for different traits were detected on the same chromosome. The genetic basis for QTL on the same chromosome is of interest when performing marker-assisted selection, especially when using conformation traits to indirectly select for decreased lameness.
| MATERIALS AND METHODS |
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Markers and Maps
Markers and their positions were chosen from previously published maps (Barendse et al., 1997) and from the Web site of the Meat Animal Research Center (http://www.marc.usda.gov/genome/genome.html). All autosomes [Bos taurus chromosomes (BTA) 1 to 29] were covered in a whole genome scan. The genome was screened using 327 microsatellite markers with an average marker spacing of 7.97 cM. Marker genotypes were determined on an automated sequence analyzer (ABI, Perkin Elmer). Table 1
shows the markers used per chromosome.
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Leg Conformation Traits
Daughters of bulls were scored for leg conformation on location by trained inspectors. The 5 leg conformation traits scored were: rear legs side view, rear legs rear view, hock quality, bone quality, and foot angle. These traits were subjectively scored on an ordered categorical scale ranging from 1 to 9. Estimated breeding values for leg conformation traits of sons based on phenotypes of their daughters were calculated using a single-trait BLUP animal model consistent with the Interbull procedure, but using only Danish recordings. These EBV were used as phenotypes in the QTL analysis. Detailed information about the definition of the traits and the calculation of the EBV can be found at http://www-interbull.slu.se/national_ges_info2/framesida-ges.htm
QTL Analysis
The QTL mapping procedure was as follows. First, a within-family regression analysis was used to identify segregating sires. Second, a variance component method was used for an across family analysis using a single-trait single QTL model. If 2 traits showed a significant QTL on the same chromosome, the data were analyzed subsequently using a multitrait single QTL model and a multitrait multiQTL model.
Regression Analysis.
The marker linkage phases in the grandsires were determined based on offspring marker genotypes. These phases were then assumed to be known without error. The segregation probabilities at each map position were calculated using information from all markers on the chromosome simultaneously using Haldanes map function (Haldane, 1919). Population allele frequencies at the markers were estimated using an expectation-maximization algorithm. Allele frequencies were subsequently assumed to be known without error. When it was not possible to distinguish unambiguously whether a marker allele was coming from the sire or the dam, the allele frequencies were used to calculate the segregation probabilities. Phenotypes were regressed onto the segregation probabilities. Significance thresholds were calculated using permutation tests performing 10,000 permutations (Churchill and Doerge, 1994).
Variance Component Analysis.
The multivariate mixed model can be written as
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where y is a n x t vector of observations on t = {1,2} traits, X is a matrix relating records to the fixed effects, ß is a vector of fixed effects, Z is a matrix relating records to individuals, u is a vector of additive polygenic effects, W is a matrix relating each individuals record to its QTL effect, qi is a vector of additive QTL effects corresponding to the i-th QTL, and e is a vector of residuals. The number of QTL, nqtl, is assumed to be equal to 1 or 2. The random variables u, q, and e are assumed to be multivariate normally distributed and mutually uncorrelated. Specifically:
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Above, A is the additive genetic relationship matrix and IBDi|M,pi is the identify by descent (IBD) matrix for the ith QTL, conditional on marker data (M) and the position (pi) of the ith QTL on the chromosome.
The single trait single QTL model used for the across family analysis is equal to model [1] with t = 1 and nqtl = 1 with G0 =
, K0 =
, E =
.
The pleiotropic model is equal to model [1] with t = 2 and nqtl = 1 with
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The 2-trait 2-QTL model is equal to model [1] with t = 2 and nqtl = 2 with
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IBD Matrix.
First, the gametic relationship matrix (Fernando and Grossman, 1989) was calculated, and then, using the linear relationship between the gametic relationship matrix and the IBD matrix, the IBD matrix was designed (George et al., 2000). The covariance structure among the random QTL allelic effects of all animals in the pedigree is described by the gametic relationship matrix. The information of the transmission of linked markers is used to calculate the IBD probabilities at the position of a putative QTL (Sørensen et al., 2003).
Significance Level.
The significance level for each trait was determined by using the quick method as described by Piepho (2001). The QTL was considered to be significant when the test-statistic exceeded the 5% chromosome-wise threshold level. To detect QTL, the chromosome was scanned and the maximum of the LR test statistics at the putative QTL position p (in cM) [T(p)], was determined over a grid for p. The null hypothesis of no QTL on a given chromosome was rejected when max T(p) > C. For a given critical value C, the chromosome-wise type I error rate was bounded above by value
[Formula 1, Piepho (2001)]. The upper bound in formula 1 (Piepho, 2001) is derived taking into account the fact that test statistics T(p) computed at adjacent positions p are stochastically dependent and in fact form a stochastic process (Piepho, 2001). To determine the genome-wise threshold, the relative length of all chromosomes was taken into account using the Bonferroni inequality [Formula 4 and 5, Piepho (2001)]. A significance threshold of 5% was considered to be significant.
Model Selection.
The pleiotropic model, where the QTL was assumed to affect both traits and the 2-trait-2-QTL model where separate QTL affecting each trait can not be compared in the likelihood setting because these models are not nested. Therefore, the Bayes information criterion (BIC) was used to validate which model was favored (Kass and Raftery, 1995; Schwarz 1978). The formula for BIC is BIC = 2log (likelihood pleiotropic model/likelihood 2-trait-2-QTL model) (k1 k2) logn, where k1 and k2 are the number of parameters to be estimated in the models and n is the number of samples. The pleiotropic and the 2-trait-2-QTL model have the same number of parameters; therefore the BIC can be written as BIC = 2[log(likelihood pleiotropic model) log(likelihood 2-trait-2-QTL model)].
A positive BIC favored the pleiotropic model, whereas a negative BIC favored the 2-trait-2-QTL model.
| RESULTS |
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becomes 100% [%
gtotal2 =
qtl2/(
qtl2 +
polygenic2) x 100%]. Therefore, the percentage of the total
is not mentioned. When plotting test statistics, the results of the regression method and the variance component method corresponded to each other with regard to the shape of the curve and the position of the highest peak. This result provided some confirmation of the validity of the tests. The regression analysis and the variance component analysis revealed the same QTL as being significant in the across family analysis. This result indicates that using the method of Piepho (2001) to compute the approximate threshold is an acceptable approach to obtain significance thresholds comparable with those obtained with the permutation test (Churchill and Doerge, 1994).
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To characterize the chromosomes associated with multiple QTL, a pleiotropic QTL model was applied. On BTA1 QTL were detected for both rear legs side view and rear legs rear view. On BTA11, QTL were detected for rear legs side view and hock quality. For BTA15 QTL were detected for hock quality and bone quality. On BTA27 QTL were associated with hock quality and bone quality. The positions of the QTL peaks on BTA1 and BTA11 were approximately 20 to 40 cM apart, whereas the estimated QTL positions for the QTL on BTA15, BTA26, and BTA27 were the same. Because of difficulties in convergence, the 2-trait model revealed no extra information for the QTL on BTA1 and BTA15. For BTA11, the maximum likelihood ratio improved from approximately 6 and 7 to approximately 15 when combining rear legs side view and hock quality in a pleiotropic QTL model. The position of the pleiotropic QTL is at 10 cM in the marker bracket flanked by BM716 and BMS2569. The correlation between effects of the QTL on rear legs side view and hock quality is 0.36, whereas the correlation between the EBV for these traits was 0.11. The QTL variance and the polygenic variance estimated for rear leg side view and hock quality did not differ from the corresponding variances estimated in the single trait analysis. To investigate whether this QTL was a pleiotropic QTL or 2 closely linked QTL, a 2-trait-2-QTL model was applied. This resulted likelihood ratio was 6, meaning that BIC = 9 (15 6), indicating that the QTL for rear legs side view and hock quality is a single pleiotropic QTL. For BTA26, the maximum likelihood ratio increased from 6 and 9 to 17 when combining lameness1 and bone quality in a pleiotropic QTL model. The position of the pleiotropic QTL is at 50 cM in marker bracket RM026-IDVGA59. The correlation between the effects of the QTL on lameness1 and bone quality is 0.49, whereas the correlation between the EBV was 0.13. The 2-trait-2-QTL model resulted in a likelihood ratio of approximately 4. The BIC equals 13, indicating that the QTL for lameness1 and bone quality is likely a single pleiotropic QTL. For BTA27 the correlation between the effects of the QTL on rear legs rear view and hock quality was 0.49, whereas the EBV correlation was 0.67. However, the likelihood ratio (11) did not improve much by including hock quality and bone quality in a pleiotropic QTL model compared with the single trait analysis. The 2-trait-2-QTL model resulted in a likelihood ratio of approximately 2. The BIC was 9, indicating that the QTL for hock quality and bone quality is more likely to be pleiotropic than 2 linked QTL. The estimated position of the pleiotropic QTL was 62 cM in marker bracket HUJI13-BM203.
| DISCUSSION |
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van der Waaij et al. (2005) showed that various claw diseases have low correlation to leg conformation traits in Dutch dairy cattle. The lameness-indices for the 3 different lactations in this study show low correlations with the leg conformation traits. The correlations between the EBV for lameness and conformation ranged from 0.005 to 0.09 between lameness-indices and rear leg side view, rear leg rear view, and foot angle; and from 0.13 to 0.05 for lameness-indices and hock quality and bone quality. The correlation among EBV of the lameness-index in the different lactations is around 0.24. These low correlations may also explain why little overlap was observed between the QTL identified for lameness and the QTL identified for the leg conformation traits as well as for the little overlap between the QTL for lameness in the different lactations. The QTL on BTA26 for Lameness1 was the only QTL showing overlap with bone quality. This QTL seemed to be pleiotropic in nature with a high correlation between traits. This result suggests that when looking for an indirect measurement to reduce lameness, selecting to increase the frequency of the superior genotype of the QTL for bone quality could reduce lameness in the first lactation.
Table 3
shows QTL associated with leg conformation traits previously reported on US Holstein cattle (Ashwell et al., 1998a,b, 2001, 2005; Schnabel et al., 2005), Dutch Holstein cattle (Schrooten et al., 2000), German Holstein cattle (Hiendleder et al., 2003), and in 3 French dairy cattle breeds: French Holstein, Normande, and Montbéliarde (Boichard et al., 2003). Comparing the results presented in Table 3
with the results of the present study (Table 2
), one can see little coincidence between the QTL found in this study and the QTL presented in the literature. In this study 16 QTL were identified that had not been previously reported compared with 5 QTL that had already presented. For the trait foot angle, we only detected one QTL on BTA8, and this QTL had not been reported before. In contrast, QTL associated with foot angle were more abundant in the German Holstein population (5 QTL detected on BTA5, BTA6, BTA17, BTA21, and BTA23; Hiendleder et al., 2003) and the US Holstein population (11 QTL detected on BTA6, BTA7, BTA9, BTA12, BTA13, BTA14, BTA16, BTA17, BTA18, BTA22, BTA23, BTA25, BTA28, and BTA29; Ashwell et al., 1998a,b, 2001, 2005; Schnabel et al., 2005).
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BTA14 was previously reported to harbor a QTL associated with rear leg side view (Ashwell et al., 1998b) near marker BM6425. This marker is approximately 50 cM from the marker interval RM011 to BM4630, in which a QTL was detected for rear leg side view in our study. Within family analysis of the Danish Holstein population did not show any significant QTL near marker BM6425; therefore, it is not likely that these QTL are caused by variation of the same genes. The chromosomes BTA3, BTA7, BTA11, and BTA21 were reported earlier to harbor QTL related to leg traits but not for the trait rear legs side view, as in our study. In addition, our study revealed QTL for rear leg side view on 2 chromosomes that had not been reported earlier to have QTL for leg related traits.
For the trait rear legs rear view, 5 QTL were detected in the current study. Of these, 2 had not been reported earlier (BTA1 and BTA29), whereas BTA13, BTA16, and BTA28 were previously reported to harbor a QTL associated with rear leg rear view (Hiendleder et al., 2003; Ashwell et al., 2005). Currently the marker compatibility between the studies for BTA13 is not very good. In a next step adding markers used in Hiendleder et al. (2003) could help to validate whether the QTL for rear legs rear view segregating in both populations are the same.
The QTL detected for hock quality were located on 4 different chromosomes (BTA11, BTA12, BTA15, and BTA27). Hiendleder et al. (2003) reported 3 chromosomes with a QTL for hocks (BTA11, BTA13, and BTA21). The map distances between the markers on BTA11 in Hiendleder et al. (2003) and in our study are very similar. It would be interesting to add marker INRA032 for a fair comparison; however, in our study there are no sire families segregating for hock quality in the area between markers BM6445 and HEL13. This result may be due to the fact that not all sires were equally typed in that area. The other QTL detected in our study were on chromosomes (BTA12, BTA15, and BTA27) not previously reported to contain QTL associated with hock quality. However, QTL on BTA12 and BTA27 have been reported previously for other leg-related traits (Ashwell et al., 1998b, 2001). To identify whether the QTL detected for the same trait are identical between breeds, a combined analysis of the data of the different independent studies could potentially lead to more precise estimates of the effects and locations of a common QTL and could be used to examine differences in QTL effects in different populations (Walling et al., 2000).
The QTL identified for bone quality on BTA15, BTA17, BTA26, and BTA27 have not been reported before. Interestingly, the QTL on BTA15 for bone quality is in the same marker bracket as the QTL associated with hock quality, as well as the QTL on BTA27. The characterization of the QTL on BTA15 did not reveal additional information because the model did not converge. To characterize the QTL on BTA27 a 2-trait QTL analysis revealed a moderate correlation on the EBV level and a weak correlation on the QTL level. In the case of a biallelic QTL, one would expect a genetic correlation very close to +1 or 1. In addition, the sires segregating for these 2 QTL on BTA27 were not the same sires. These results suggest no pleiotropic QTL but rather 2 distinct QTL, each affecting 1 trait. The use of pleiotropic QTL with an advantageous effect on each trait would be interesting in case one would like to select for both traits at the same time; however, when the effects are of antagonistic sign, selection is difficult using a pleiotropic QTL because the positive effect of the QTL for one trait is negative for another trait.
In this study we presented QTL associated with lameness and leg conformation traits using a moderately dense marker map for a genome scan. The QTL detected for lameness were distinct between lactations. The QTL for lameness showed little overlap with the QTL found for leg conformation traits, except for bone quality. The QTL detected for leg conformation traits in the Danish Holstein population showed little overlap with the previously published QTL for feet and leg traits; however, analysis of the same markers across populations in the various studies is necessary for full informative comparison of the results. In a next step, the method of combining linkage and linkage disequilibrium (Meuwissen et al., 2002) could be used to obtain a more precise estimate of the QTL position. Together with the genomic information becoming available on gene location (Itoh et al., 2005), this strategy will provide information on potential useful markers for marker-assisted selection for lameness.
| ACKNOWLEDGEMENTS |
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Received for publication March 20, 2006. Accepted for publication August 31, 2006.
| REFERENCES |
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